The Geometry of General Relativity
by Tevian Dray - Oregon State University , 2014The manuscript emphasizes the use of differential forms, rather than tensors, which are barely mentioned. The focus is on the basic examples, namely the Schwarzschild black hole and the Friedmann-Robertson-Walker cosmological models.(889 views)

The Confrontation between General Relativity and Experiment
by Clifford M. Will - arXiv , 2014The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Tests of general relativity have reached high precision, including the light deflection, the Shapiro time delay, etc.(713 views)

A No-Nonsense Introduction to General Relativity
by Sean M. Carroll , 2001General relativity has a reputation of being extremely difficult. This introduction is a very pragmatic affair, intended to give you some immediate feel for the language of GR. It does not substitute for a deep understanding -- that takes more work.(1938 views)

Space - Time - Matter
by Hermann Weyl - Methuen & Co. , 1922A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.(1763 views)

General Relativity Without Calculus
by Jose Natario - Springer , 2012This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.(1717 views)

Spacetime Geometry and General Relativity
by Neil Lambert - King's College London , 2011This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.(1644 views)

Mass and Angular Momentum in General Relativity
by J.L. Jaramillo, E. Gourgoulhon - arXiv , 2010We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.(1753 views)

Recent Developments in Gravitational Collapse and Spacetime Singularities
by Pankaj S. Joshi, Daniele Malafarina - arXiv , 2012The research of recent years has provided considerable clarity and insight on stellar collapse, black holes and the nature and structure of spacetime singularities. In this text, the authors discuss several of these developments here.(3993 views)

Vector Analysis and the Theory of Relativity
by Francis Dominic Murnaghan - Johns Hopkins press , 1922This monograph is the outcome of lectures delivered to the graduate department of mathematics of The Johns Hopkins University. Considerations of space have made it somewhat condensed in form, but the mode of presentation is sufficiently novel.(5381 views)

General Covariance and the Foundations of General Relativity
by John D Norton - University of Pittsburgh , 1993This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.(2614 views)

General Relativity Notes
by Edmund Bertschinger - MIT , 1999Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.(2944 views)

Post-Newtonian Theory for the Common Reader
by Eric Poisson - University of Guelph , 2007From the table of contents: Preliminaries; Integration techniques; First post-Minkowskian approximation; Second post-Minkowskian approximation; Equations of motion; Gravitational waves; Energy radiated and radiation reaction.(2593 views)

An Advanced Course in General Relativity
by Eric Poisson - University of Guelph , 2002These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.(3542 views)

Gravitational Waves
by Alessandra Buonanno - arXiv , 2007Gravitational-wave (GW) science has entered a new era. Theoretically, the last years have been characterized by numerous major advances. These lectures are envisioned to be an introductory, basic course in gravitational-wave physics.(2990 views)

General Relativity
by Benjamin Crowell - lightandmatter.com , 2010This is an undergraduate textbook on general relativity. It is well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books.(4802 views)

Lecture Notes on General Relativity
by Matthias Blau - Universitaet Bern , 2014The first half of the book is dedicated to developing the machinery of tensor calculus and Riemannian geometry required to describe physics in a curved space time. We will then turn to various applications of General Relativity.(3440 views)

Gravitational Waves, Sources, and Detectors
by Bernard F Schutz, Franco Ricci - arXiv , 2010Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.(2538 views)

Neutrosophic Methods in General Relativity
by D. Rabounski, F. Smarandache, L. Borissova - Hexis , 2005Neutrosophy is a theory developed by Florentin Smarandache in 1995, which studies the nature and properties of neutralities. This book applies neutrosophic method to the General Theory of Relativity, aiming to discover new effects hidden before.(2454 views)

An Introduction to the Theory of Rotating Relativistic Stars
by Eric Gourgoulhon - arXiv , 2010These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.(4052 views)

Partial Differential Equations of Physics
by Robert Geroch - arXiv , 1996All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated.(7974 views)

Introduction to General Relativity
by Gerard 't Hooft - Rinton Press , 2010The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.(5952 views)

Introduction to the Theory of Black Holes
by Gerard 't Hooft - Utrecht University , 2009Contents: The Metric of Space and Time; Curved coordinates; A short introduction to General Relativity; Gravity; The Schwarzschild Solution; The Chandrasekhar Limit; Gravitational Collapse; The Reissner-Nordstrom Solution; Horizons; and more.(11438 views)

Complex Geometry of Nature and General Relativity
by Giampiero Esposito - arXiv , 1999An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.(7746 views)

Space, Time and Gravitation: An Outline of the General Relativity Theory
by Arthur Stanley Eddington - Cambridge University Press , 1920The author gives an account of general relativity theory without introducing anything very technical in the way of mathematics, physics, or philosophy. It is hoped that the book may also appeal to those who have gone into the subject more deeply.(5069 views)

Introduction to relativistic astrophysics and cosmology through Maple
by V. L. Kalashnikov - arXiv , 2001The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.(6972 views)

Lecture Notes on General Relativity
by Sean M. Carroll - University of California , 1997Lecture notes on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.(5173 views)

Semi-Riemann Geometry and General Relativity
by Shlomo Sternberg , 2003Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.(5982 views)